Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics
Complex Variables
2008-06-03 v1 Metric Geometry
Abstract
We obtain explicit and simple conditions which in many cases allow one decide, whether or not a Denjoy domain endowed with the Poincare or quasihyperbolic metric is Gromov hyperbolic. The criteria are based on the Euclidean size of the complement. As a corollary, the main theorem allows to deduce the non-hyperbolicity of any periodic Denjoy domain.
Cite
@article{arxiv.0806.0097,
title = {Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics},
author = {Peter Hästö and Henri Linden and Ana Portilla and Jose M. Rodriguez and E. Touris},
journal= {arXiv preprint arXiv:0806.0097},
year = {2008}
}
Comments
14 pages, 1 latex file, 1 eps figure